Theorems · Theorem · measure theory
StieltjesFunction.countable_leftLim_ne
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : TopologicalSpace R] [OrderTopology R] (f : StieltjesFunction R),
{x | Function.leftLim (↑f) x ≠ ↑f x}.Countable- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- Set.ofPredstatement and proof · cited by 6,101
- OrderTopologystatement and proof · cited by 1,355
- ContinuousAtproof · cited by 697
- Set.Countablestatement · cited by 545
- StieltjesFunction.toFunstatement and proof · cited by 120
- ContinuousAt.continuousWithinAtproof · cited by 102
- StieltjesFunctionstatement and proof · cited by 85
- Function.leftLimstatement and proof · cited by 60
- Set.Countable.monoproof · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- StieltjesFunction.ae_hasDerivAtproof · cited by 1